Tension in a conical pendulum with 500g ball and 1.0m string

[pammy345]

Homework Statement

okay here is the problem: A conical pendulum is formed by attaching a 500g ball to a 1.0m long string, then allowing the mass to move in a horizontal circle of radius 20cm. What is the tension in the string?

Homework Equations

My professor gave a hint that said use the fact that the vertical component of acceleration is zero since there is no vertical motion.

If i use the equation Tcos(theta)=mg, i get the given answer 5N. if this is correct should my Tension force be on the y-axis at 90 degrees on my FBD and my weight force on the y-axis at 270 degrees?

 

[Hootenanny]

If i use the equation Tcos(theta)=mg, i get the given answer 5N. if this is correct should my Tension force be on the y-axis at 90 degrees on my FBD and my weight force on the y-axis at 270 degrees?

Sounds good to me